176566 ÷ 34 
The aim is to understand the frequency of 34 in 176566.

Step 1:
If we divide 1 by 34, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 34

Moving on to step 2:
If we divide 17 by 34, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 34

Step 3:
When dividing 176 by 34, we get 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 6 after subtracting 170 from 176.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 34

On to step 4:
The number 34 fits into 65 1 times, leaving a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 51.0
Deduct 34 from 65 and we're left with 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 34

Step 5:
316 divided by 34 is 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 519.0
Deduct 306 from 316 and we're left with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 34

On to step 6:
The number 34 fits into 106 3 times, leaving a remainder of 4.
The next digit of our result is 3. 
Result so far: 5193.0
Subtract 102 from 106 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
When dividing 40 by 34, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 5193.1
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
34 goes into 60 1 times with a remainder of 26.
The next digit of our result is 1. 
Result so far: 5193.11
Subtracting 34 from 60 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 5193.11 with a balance of 0.026.